Combinatorial Foundation of Homology and Homotopy Applications to Spaces, Diagrams, Transformation Groups, Compactifications, Differential Algebras, Algebraic Theories, Simplicial Objects, and Resolutions
This book considers deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and characterizes axiomatically the assumptions under which...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1999, 1999
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| Edition: | 1st ed. 1999 |
| Series: | Springer Monographs in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I. Examples and Applications
- A: Examples and Applications in Topological Categories
- B: Examples and Applications in Algebraic Homotopy Theories
- C: Applications and Examples in Delicate Homotopy Theories of Simplicial Objects
- D: Resolutions in Model Categories
- II. Combinatorial Homology and Homotopy
- I: Theories of Coactions and Homology
- II: Twisted Chain Complexes and Twisted Homology
- III: Basic Concepts of Homotopy Theory
- IV: Complexes in Cofibration Categories
- V: Homology of Complexes
- V: Homology of Complexes
- VII: Finiteness Obstructions
- VIII: Non-Reduced Complexes and Whitehead Torsion
- List of Notations